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86801112 = 23333710861
BaseRepresentation
bin1010010110001…
…11101011011000
320001022221202000
411023013223120
5134210113422
612340241000
72102540316
oct513075330
9201287660
1086801112
1144aa6a62
12250a0160
1314ca1c08
14b7570b6
157948cac
hex52c7ad8

86801112 has 64 divisors (see below), whose sum is σ = 247653600. Its totient is φ = 28149120.

The previous prime is 86801111. The next prime is 86801123. The reversal of 86801112 is 21110868.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86801111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562 + ... + 13422.

Almost surely, 286801112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86801112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123826800).

86801112 is an abundant number, since it is smaller than the sum of its proper divisors (160852488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86801112 is a wasteful number, since it uses less digits than its factorization.

86801112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 86801112 is about 9316.7114369825. The cubic root of 86801112 is about 442.7668485253.

The spelling of 86801112 in words is "eighty-six million, eight hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 10861 21722 32583 43444 65166 86888 97749 130332 195498 260664 293247 390996 401857 586494 781992 803714 1172988 1205571 1607428 2345976 2411142 3214856 3616713 4822284 7233426 9644568 10850139 14466852 21700278 28933704 43400556 86801112